학술논문

Optimizing Sensing Matrices for Spherical Near-Field Antenna Measurements
Document Type
Periodical
Source
IEEE Transactions on Antennas and Propagation IEEE Trans. Antennas Propagat. Antennas and Propagation, IEEE Transactions on. 71(2):1716-1724 Feb, 2023
Subject
Fields, Waves and Electromagnetics
Aerospace
Transportation
Components, Circuits, Devices and Systems
Sensors
Antenna measurements
Sparse matrices
Coherence
Mathematical models
Harmonic analysis
Transmission line matrix methods
Compressed sensing (CS)
near-field to far-field transformation (NFFFT)
optimization
spherical near-field (SNF) antenna measurements
Language
ISSN
0018-926X
1558-2221
Abstract
In this article, we address the problem of reducing the number of required samples for spherical near-field (SNF) antenna measurements by using compressed sensing (CS). A condition to ensure the numerical performance of sparse recovery algorithms is the design of a sensing matrix with low mutual coherence. Without fixing any part of the sampling pattern, we directly find sampling points that minimize the mutual coherence of the respective sensing matrix. Numerical experiments show that the proposed sampling scheme yields a higher recovery success in terms of phase transition diagram when compared to other known sampling patterns, such as the spiral and Hammersley sampling schemes. Furthermore, we also demonstrate that the application of CS with an optimized sensing matrix requires fewer samples than classical approaches to reconstruct the spherical mode coefficients (SMCs) and far-field pattern.